prime numbers rule

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Gurpinder: Legendary Member; Posts: 659; Joined: Mon Dec 14, 2009 8:12 amFollowed by: 3 members; Thanked: 32 times

by Gurpinder » Sun Aug 22, 2010 5:18 pm

hey guys,

i have a question regarding prime numbers rules.

lets say x/6.

the prime factors of x=3,2

if we are to determine whether x is even or odd, WHY is the answer that x is even since it is divisible by 2 when it is also divisible by 3 which would in the same reasoning say that x is odd.

thanks!!

"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.

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Source: Beat The GMAT — Quantitative Reasoning | Sun Aug 22, 2010 5:18 pm

4GMAT_Mumbai: Master | Next Rank: 500 Posts; Posts: 161; Joined: Mon Apr 05, 2010 9:06 am; Location: Mumbai; Thanked: 37 times

by 4GMAT_Mumbai » Sun Aug 22, 2010 8:17 pm

Hi,

"when it is also divisible by 3 which would in the same reasoning say that x is odd. "

When a # is divisible by 3, it need not be odd. It could either be even or odd. 18 is divisible by 3 and is a even #.

Hope this clarifies this point.

Going forward, you could however say that only even multiples of 3 are divisible by 6. Odd multiples of 3 are not divisible by 6. Hope this helps.

Thanks.

Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai

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Tani: Legendary Member; Posts: 1255; Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members; Location: St. Louis; Thanked: 312 times

by Tani » Mon Aug 23, 2010 8:16 am

The definition of an even number is that it is divisible by 2. An odd number is one that is NOT divisible by 2. Once a number is even it doesn't matter what else it can be divided by.

Tani Wolff

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Gurpinder: Legendary Member; Posts: 659; Joined: Mon Dec 14, 2009 8:12 amFollowed by: 3 members; Thanked: 32 times

by Gurpinder » Mon Aug 23, 2010 10:15 am

Tani Wolff - Kaplan wrote:The definition of an even number is that it is divisible by 2. An odd number is one that is NOT divisible by 2. Once a number is even it doesn't matter what else it can be divided by.

Thank you! That clarifies alot of cloudiness.

"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.

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